Write a^4 - 3a^2 + 2 as a product of two monic quadratics with integer coefficients.
Treat \(a^2\)as \(b \)
Now, when you factor \({b^2-3b+2}\)....
You get \((b-1)(b-2)\)
Remember, this equals \((a^2-1)(a^2-2)\)